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Determine whether the relation represents a function. State the domain and range of the relation.

Relation: ({(3,4), (8,8), (2,7), (-8, 0)}

1 Answer

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Final answer:

The relation represents a function as each input has a unique output. The domain is {3, 8, 2, -8}, and the range is {4, 8, 7, 0}.

Step-by-step explanation:

To determine whether the relation represents a function, we need to check if every input (x-value) has exactly one output (y-value). In the given relation {(3,4), (8,8), (2,7), (-8, 0)}, we observe that all the x-values are unique. Hence, this relation does constitute a function.

The domain of a function is the set of all possible inputs. For the given relation, the domain is {3, 8, 2, -8}. The range of a function is the set of all possible outputs. For the given relation, the range is {4, 8, 7, 0}.

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